What is the Least Common Multiple of 17320 and 17334?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 17320 and 17334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17320 and 17334, than apply into the LCM equation.

GCF(17320,17334) = 2
LCM(17320,17334) = ( 17320 × 17334) / 2
LCM(17320,17334) = 300224880 / 2
LCM(17320,17334) = 150112440

Least Common Multiple (LCM) of 17320 and 17334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17320 and 17334. First we will calculate the prime factors of 17320 and 17334.

Prime Factorization of 17320

Prime Factorization of 17334

Now multiplying the highest exponent prime factors to calculate the LCM of 17320 and 17334.

LCM(17320,17334) = 2³ × 5¹ × 433¹ × 3⁴ × 107¹
LCM(17320,17334) = 150112440